Preliminary communication

Analytical bench tests for numerical methods for bending of beams and frames undergoing large displacements

Dar Kostović ; Split-Dalmatian Police Headquarter, Protection and Rescue Department, Split, CROATIA

Abstract

The research of numerical methods for bending beams and frames undergoing large displacement requires reliable reference analytical solutions. Although these solutions can be found spread in the literature, we still need to have them solved in a systematic way up to known accuracy. This paper is an attempt to fit this need. The bench test examples include a cantilever beam with concentrated force at the free end and a diamond-shaped beam frame with diagonal forces. Numerical solutions of bench test examples are compared to the analytical solutions. The analyzed examples show that the numerical solutions obtained by these methods converge monotonically toward an exact analytical solution. For all numerical methods, good agreement is indicated. The numerical methods are compared with each other, using criteria of accuracy, reliability, and numerical efficiency, in order to find out which methods are more suitable for engineering applications.

Keywords

beam bending, large displacements, nonlinear numerical analysis, line systems, analytical solutions, accuracy, reliability, numerical efficiency

Hrčak ID:

295597

URI

https://hrcak.srce.hr/295597

Publication date:

15.12.2005.

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